Multidimensional Toda Lattices: Continuous and Discrete Time
Mathematical Physics
2016-06-14 v3 Classical Analysis and ODEs
math.MP
Abstract
In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates. To construct the systems, we generalize the orthogonal polynomial approach for the continuous and discrete Toda lattices to the case of multiple orthogonal polynomials.
Cite
@article{arxiv.1511.08098,
title = {Multidimensional Toda Lattices: Continuous and Discrete Time},
author = {Alexander I. Aptekarev and Maxim Derevyagin and Hiroshi Miki and Walter Van Assche},
journal= {arXiv preprint arXiv:1511.08098},
year = {2016}
}